Along distance runner does a first lap around a track in exactly 50 seconds. as she tires, each subsequent lap takes 20% longer than the previous one. how long does she take to run 3 laps?

The first lap takes 50 seconds. Each subsequent lap takes 20% longer than the previous one.

So we can write the time taken to run the the lap is .

So we can write,

So the time taken to run 3 laps is

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

honestly bro aint no one got time to answer these dumb question just do it p***y

step-by-step explanation: